DOI: 10.1038/nmat815. Growth of 'dizzy dendrites' in a random field of foreign particles

Growth of 'dizzy dendrites' in a random field of foreign particles

10.1038/nmat815

Crossref journal-article

Springer Science and Business Media LLC

Nature Materials (297)

Bibliography

GrÃ¡nÃ¡sy, L., Pusztai, T., Warren, J. A., Douglas, J. F., BÃ¶rzsÃ¶nyi, T., & Ferreiro, V. (2003). Growth of âdizzy dendritesâ in a random field of foreign particles. Nature Materials, 2(2), 92â96.

Authors 6

László Gránásy (first)
Tamás Pusztai (additional)
James A. Warren (additional)
Jack F. Douglas (additional)
Tamás Börzsönyi (additional)
Vincent Ferreiro (additional)

References 20 Referenced 126

Cahn, R.W. The Coming of Materials Science (Pergamon, Oxford, 2001). / The Coming of Materials Science by RW Cahn (2001)
Ferreiro, V., Douglas, J.F., Warren, J.A. & Karim, A. Nonequilibrium pattern formation in the crystallization of polymer blend films. Phys. Rev. E 65, 042802 (2002). (10.1103/PhysRevE.65.042802) / Phys. Rev. E by V Ferreiro (2002)
Ferreiro, V., Douglas, J.F., Warren, J.A. & Karim, A. Growth pulsations in symmetric dendritic crystallization in polymer blend films. Phys. Rev. E 65, 051606 (2002). (10.1103/PhysRevE.65.051606) / Phys. Rev. E by V Ferreiro (2002)
Keith, H.D. & Padden, F.J. Crystallization of polymers from the melt and the structure of bulk semicrystalline polymers. J. Appl. Phys. 34, 2409–2421 (1963). (10.1063/1.1702757) / J. Appl. Phys. by HD Keith (1963)
Gránásy, L., Börzsönyi, T. & Pusztai, T. Nucleation and bulk crystallization in binary phase field theory. Phys. Rev. Lett. 88, 206105 (2002). (10.1103/PhysRevLett.88.206105) / Phys. Rev. Lett. by L Gránásy (2002)
Gránásy, L., Börzsönyi, T. & Pusztai, T. Crystal nucleation and growth in binary phase field theory. J. Cryst. Growth 237–239, 1813–1817 (2002). (10.1016/S0022-0248(01)02350-8) / J. Cryst. Growth by L Gránásy (2002)
Warren, J.A. & Boettinger, W.J. Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall. Mater. 43, 689–703 (1995). (10.1016/0956-7151(94)00285-P) / Acta Metall. Mater. by JA Warren (1995)
Kobayashi, R., Warren, J.A. & Carter, W.C. Vector-valued phase field model for crystallization and grain boundary formation. Physica D 119, 415–423 (1998). (10.1016/S0167-2789(98)00026-8) / Physica D by R Kobayashi (1998)
Kobayashi, R., Warren, J.A. & Carter, W.C. Modeling grain boundaries using a phase-field technique. Physica D 140, 141–150 (2000). (10.1016/S0167-2789(00)00023-3) / Physica D by R Kobayashi (2000)
Huisman, W.J. et al. Layering of a liquid metal in contact with a hard wall. Nature 390, 379–381 (1997). (10.1038/37069) / Nature by WJ Huisman (1997)
Davidchack, R.L & Laird, B.B. Simulation of the hard-sphere crystal-melt interface. J. Chem. Phys. 108, 9452–9462 (1998). (10.1063/1.476396) / J. Chem. Phys. by RL Davidchack (1998)
Hoyt, J.J., Asta, M. & Karma, A. Method for computing the anisotropy of the solid-liquid interfacial free energy. Phys. Rev. Lett. 86, 5530–5533 (2001). (10.1103/PhysRevLett.86.5530) / Phys. Rev. Lett. by JJ Hoyt (2001)
Stefanescu, D.M., Moitra, A., Kacar, A.S. & Dhindaw, B.K. The influence of buoyant forces and volume fraction of particles on the particle pushing/entrapment transition during directional solidification of Al/SiC and Al/graphite composites. Metall. Trans. A 29, 231–239 (1990). (10.1007/BF02656440) / Metall. Trans. A by DM Stefanescu (1990)
Magill, J.H. Spherulites: A personal perspective. J. Mater. Sci. 36, 3143–3164 (2001). (10.1023/A:1017974016928) / J. Mater. Sci. by JH Magill (2001)
Eggleston, J.J., McFadden, G.B. & Voorhees, P.W. A phase-field model for highly anisotropic interfacial energy. Physica D 150, 91–103 (2001). (10.1016/S0167-2789(00)00222-0) / Physica D by JJ Eggleston (2001)
Allen, L., Beijersbergen, M.W., Spreeuw R.J.C. & Woerdman, J.P. Orbital angular-momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45, 8185–8189 (1992). (10.1103/PhysRevA.45.8185) / Phys. Rev. A by L Allen (1992)
Sekhar, J.A. & Trivedi, R. Solidification microstructure evolution in the presence of inert particles. Mater. Sci. Eng. A 147, 9–21(1991). (10.1016/0921-5093(91)90800-3) / Mater. Sci. Eng. A by JA Sekhar (1991)
Rohatgi, P.K., Pasciak, K., Narendranath, C.S., Ray, S. & Sachdev, A. Evolution of microstructure and local thermal conditions during directional solidification of A356-SiC particle composites. J. Mater. Sci. 29, 5357–5366 (1994). (10.1007/BF01171548) / J. Mater. Sci. by PK Rohatgi (1994)
Dutta, B. & Surappa, M.K. Directional dendritic solidification of a composite slurry: Part I. Dendrite morphology. Metall. Mater. Trans. A 29, 1319–1327 (1998). (10.1007/s11661-998-0258-z) / Metall. Mater. Trans. A by B Dutta (1998)
Dutta, B. & Surappa, M.K. Directional dendritic solidification of a composite slurry: Part II. Particle distribution. Metall. Mater. Trans. A 29, 1329–1339 (1998). (10.1007/s11661-998-0259-y) / Metall. Mater. Trans. A by B Dutta (1998)

Dates

Type	When
Created	22 years, 6 months ago (Jan. 31, 2003, 6:06 a.m.)
Deposited	3 years, 1 month ago (July 6, 2022, 3:16 p.m.)
Indexed	2 weeks, 1 day ago (Aug. 6, 2025, 9:55 a.m.)
Issued	22 years, 7 months ago (Jan. 19, 2003)
Published	22 years, 7 months ago (Jan. 19, 2003)
Published Online	22 years, 7 months ago (Jan. 19, 2003)
Published Print	22 years, 6 months ago (Feb. 1, 2003)

Funders 0

None

BibTeX

@article{Gr_n_sy_2003, title={Growth of “dizzy dendrites” in a random field of foreign particles}, volume={2}, ISSN={1476-4660}, url={http://dx.doi.org/10.1038/nmat815}, DOI={10.1038/nmat815}, number={2}, journal={Nature Materials}, publisher={Springer Science and Business Media LLC}, author={Gránásy, László and Pusztai, Tamás and Warren, James A. and Douglas, Jack F. and Börzsönyi, Tamás and Ferreiro, Vincent}, year={2003}, month=jan, pages={92–96} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        6
      ]
    ],
    "date-time": "2025-08-06T13:55:09Z",
    "timestamp": 1754488509050
  },
  "reference-count": 20,
  "publisher": "Springer Science and Business Media LLC",
  "issue": "2",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2003,
            1,
            19
          ]
        ],
        "date-time": "2003-01-19T00:00:00Z",
        "timestamp": 1042934400000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "https://www.springer.com/tdm"
    },
    {
      "start": {
        "date-parts": [
          [
            2003,
            1,
            19
          ]
        ],
        "date-time": "2003-01-19T00:00:00Z",
        "timestamp": 1042934400000
      },
      "content-version": "vor",
      "delay-in-days": 0,
      "URL": "https://www.springer.com/tdm"
    }
  ],
  "content-domain": {
    "domain": [
      "link.springer.com"
    ],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        2003,
        2,
        1
      ]
    ]
  },
  "DOI": "10.1038/nmat815",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2003,
        1,
        31
      ]
    ],
    "date-time": "2003-01-31T11:06:34Z",
    "timestamp": 1044011194000
  },
  "page": "92-96",
  "update-policy": "http://dx.doi.org/10.1007/springer_crossmark_policy",
  "source": "Crossref",
  "is-referenced-by-count": 126,
  "title": "Growth of 'dizzy dendrites' in a random field of foreign particles",
  "prefix": "10.1038",
  "volume": "2",
  "author": [
    {
      "given": "L\u00e1szl\u00f3",
      "family": "Gr\u00e1n\u00e1sy",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "Tam\u00e1s",
      "family": "Pusztai",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "James A.",
      "family": "Warren",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Jack F.",
      "family": "Douglas",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Tam\u00e1s",
      "family": "B\u00f6rzs\u00f6nyi",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Vincent",
      "family": "Ferreiro",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "297",
  "published-online": {
    "date-parts": [
      [
        2003,
        1,
        19
      ]
    ]
  },
  "reference": [
    {
      "key": "BFnmat815_CR1",
      "volume-title": "The Coming of Materials Science",
      "author": "RW Cahn",
      "year": "2001",
      "unstructured": "Cahn, R.W. The Coming of Materials Science (Pergamon, Oxford, 2001)."
    },
    {
      "key": "BFnmat815_CR2",
      "doi-asserted-by": "publisher",
      "first-page": "042802",
      "DOI": "10.1103/PhysRevE.65.042802",
      "volume": "65",
      "author": "V Ferreiro",
      "year": "2002",
      "unstructured": "Ferreiro, V., Douglas, J.F., Warren, J.A. & Karim, A. Nonequilibrium pattern formation in the crystallization of polymer blend films. Phys. Rev. E 65, 042802 (2002).",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "BFnmat815_CR3",
      "doi-asserted-by": "publisher",
      "first-page": "051606",
      "DOI": "10.1103/PhysRevE.65.051606",
      "volume": "65",
      "author": "V Ferreiro",
      "year": "2002",
      "unstructured": "Ferreiro, V., Douglas, J.F., Warren, J.A. & Karim, A. Growth pulsations in symmetric dendritic crystallization in polymer blend films. Phys. Rev. E 65, 051606 (2002).",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "BFnmat815_CR4",
      "doi-asserted-by": "publisher",
      "first-page": "2409",
      "DOI": "10.1063/1.1702757",
      "volume": "34",
      "author": "HD Keith",
      "year": "1963",
      "unstructured": "Keith, H.D. & Padden, F.J. Crystallization of polymers from the melt and the structure of bulk semicrystalline polymers. J. Appl. Phys. 34, 2409\u20132421 (1963).",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "BFnmat815_CR5",
      "doi-asserted-by": "publisher",
      "first-page": "206105",
      "DOI": "10.1103/PhysRevLett.88.206105",
      "volume": "88",
      "author": "L Gr\u00e1n\u00e1sy",
      "year": "2002",
      "unstructured": "Gr\u00e1n\u00e1sy, L., B\u00f6rzs\u00f6nyi, T. & Pusztai, T. Nucleation and bulk crystallization in binary phase field theory. Phys. Rev. Lett. 88, 206105 (2002).",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "BFnmat815_CR6",
      "doi-asserted-by": "publisher",
      "first-page": "1813",
      "DOI": "10.1016/S0022-0248(01)02350-8",
      "volume": "237\u2013239",
      "author": "L Gr\u00e1n\u00e1sy",
      "year": "2002",
      "unstructured": "Gr\u00e1n\u00e1sy, L., B\u00f6rzs\u00f6nyi, T. & Pusztai, T. Crystal nucleation and growth in binary phase field theory. J. Cryst. Growth 237\u2013239, 1813\u20131817 (2002).",
      "journal-title": "J. Cryst. Growth"
    },
    {
      "key": "BFnmat815_CR7",
      "doi-asserted-by": "publisher",
      "first-page": "689",
      "DOI": "10.1016/0956-7151(94)00285-P",
      "volume": "43",
      "author": "JA Warren",
      "year": "1995",
      "unstructured": "Warren, J.A. & Boettinger, W.J. Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall. Mater. 43, 689\u2013703 (1995).",
      "journal-title": "Acta Metall. Mater."
    },
    {
      "key": "BFnmat815_CR8",
      "doi-asserted-by": "publisher",
      "first-page": "415",
      "DOI": "10.1016/S0167-2789(98)00026-8",
      "volume": "119",
      "author": "R Kobayashi",
      "year": "1998",
      "unstructured": "Kobayashi, R., Warren, J.A. & Carter, W.C. Vector-valued phase field model for crystallization and grain boundary formation. Physica D 119, 415\u2013423 (1998).",
      "journal-title": "Physica D"
    },
    {
      "key": "BFnmat815_CR9",
      "doi-asserted-by": "publisher",
      "first-page": "141",
      "DOI": "10.1016/S0167-2789(00)00023-3",
      "volume": "140",
      "author": "R Kobayashi",
      "year": "2000",
      "unstructured": "Kobayashi, R., Warren, J.A. & Carter, W.C. Modeling grain boundaries using a phase-field technique. Physica D 140, 141\u2013150 (2000).",
      "journal-title": "Physica D"
    },
    {
      "key": "BFnmat815_CR10",
      "doi-asserted-by": "publisher",
      "first-page": "379",
      "DOI": "10.1038/37069",
      "volume": "390",
      "author": "WJ Huisman",
      "year": "1997",
      "unstructured": "Huisman, W.J. et al. Layering of a liquid metal in contact with a hard wall. Nature 390, 379\u2013381 (1997).",
      "journal-title": "Nature"
    },
    {
      "key": "BFnmat815_CR11",
      "doi-asserted-by": "publisher",
      "first-page": "9452",
      "DOI": "10.1063/1.476396",
      "volume": "108",
      "author": "RL Davidchack",
      "year": "1998",
      "unstructured": "Davidchack, R.L & Laird, B.B. Simulation of the hard-sphere crystal-melt interface. J. Chem. Phys. 108, 9452\u20139462 (1998).",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "BFnmat815_CR12",
      "doi-asserted-by": "publisher",
      "first-page": "5530",
      "DOI": "10.1103/PhysRevLett.86.5530",
      "volume": "86",
      "author": "JJ Hoyt",
      "year": "2001",
      "unstructured": "Hoyt, J.J., Asta, M. & Karma, A. Method for computing the anisotropy of the solid-liquid interfacial free energy. Phys. Rev. Lett. 86, 5530\u20135533 (2001).",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "BFnmat815_CR13",
      "doi-asserted-by": "publisher",
      "first-page": "231",
      "DOI": "10.1007/BF02656440",
      "volume": "29",
      "author": "DM Stefanescu",
      "year": "1990",
      "unstructured": "Stefanescu, D.M., Moitra, A., Kacar, A.S. & Dhindaw, B.K. The influence of buoyant forces and volume fraction of particles on the particle pushing/entrapment transition during directional solidification of Al/SiC and Al/graphite composites. Metall. Trans. A 29, 231\u2013239 (1990).",
      "journal-title": "Metall. Trans. A"
    },
    {
      "key": "BFnmat815_CR14",
      "doi-asserted-by": "publisher",
      "first-page": "3143",
      "DOI": "10.1023/A:1017974016928",
      "volume": "36",
      "author": "JH Magill",
      "year": "2001",
      "unstructured": "Magill, J.H. Spherulites: A personal perspective. J. Mater. Sci. 36, 3143\u20133164 (2001).",
      "journal-title": "J. Mater. Sci."
    },
    {
      "key": "BFnmat815_CR15",
      "doi-asserted-by": "publisher",
      "first-page": "91",
      "DOI": "10.1016/S0167-2789(00)00222-0",
      "volume": "150",
      "author": "JJ Eggleston",
      "year": "2001",
      "unstructured": "Eggleston, J.J., McFadden, G.B. & Voorhees, P.W. A phase-field model for highly anisotropic interfacial energy. Physica D 150, 91\u2013103 (2001).",
      "journal-title": "Physica D"
    },
    {
      "key": "BFnmat815_CR16",
      "doi-asserted-by": "publisher",
      "first-page": "8185",
      "DOI": "10.1103/PhysRevA.45.8185",
      "volume": "45",
      "author": "L Allen",
      "year": "1992",
      "unstructured": "Allen, L., Beijersbergen, M.W., Spreeuw R.J.C. & Woerdman, J.P. Orbital angular-momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45, 8185\u20138189 (1992).",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "BFnmat815_CR17",
      "doi-asserted-by": "publisher",
      "first-page": "9",
      "DOI": "10.1016/0921-5093(91)90800-3",
      "volume": "147",
      "author": "JA Sekhar",
      "year": "1991",
      "unstructured": "Sekhar, J.A. & Trivedi, R. Solidification microstructure evolution in the presence of inert particles. Mater. Sci. Eng. A 147, 9\u201321(1991).",
      "journal-title": "Mater. Sci. Eng. A"
    },
    {
      "key": "BFnmat815_CR18",
      "doi-asserted-by": "publisher",
      "first-page": "5357",
      "DOI": "10.1007/BF01171548",
      "volume": "29",
      "author": "PK Rohatgi",
      "year": "1994",
      "unstructured": "Rohatgi, P.K., Pasciak, K., Narendranath, C.S., Ray, S. & Sachdev, A. Evolution of microstructure and local thermal conditions during directional solidification of A356-SiC particle composites. J. Mater. Sci. 29, 5357\u20135366 (1994).",
      "journal-title": "J. Mater. Sci."
    },
    {
      "key": "BFnmat815_CR19",
      "doi-asserted-by": "publisher",
      "first-page": "1319",
      "DOI": "10.1007/s11661-998-0258-z",
      "volume": "29",
      "author": "B Dutta",
      "year": "1998",
      "unstructured": "Dutta, B. & Surappa, M.K. Directional dendritic solidification of a composite slurry: Part I. Dendrite morphology. Metall. Mater. Trans. A 29, 1319\u20131327 (1998).",
      "journal-title": "Metall. Mater. Trans. A"
    },
    {
      "key": "BFnmat815_CR20",
      "doi-asserted-by": "publisher",
      "first-page": "1329",
      "DOI": "10.1007/s11661-998-0259-y",
      "volume": "29",
      "author": "B Dutta",
      "year": "1998",
      "unstructured": "Dutta, B. & Surappa, M.K. Directional dendritic solidification of a composite slurry: Part II. Particle distribution. Metall. Mater. Trans. A 29, 1329\u20131339 (1998).",
      "journal-title": "Metall. Mater. Trans. A"
    }
  ],
  "container-title": "Nature Materials",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://www.nature.com/articles/nmat815.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://www.nature.com/articles/nmat815",
      "content-type": "text/html",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://www.nature.com/articles/nmat815.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2022,
        7,
        6
      ]
    ],
    "date-time": "2022-07-06T19:16:01Z",
    "timestamp": 1657134961000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://www.nature.com/articles/nmat815"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2003,
        1,
        19
      ]
    ]
  },
  "references-count": 20,
  "journal-issue": {
    "issue": "2",
    "published-print": {
      "date-parts": [
        [
          2003,
          2,
          1
        ]
      ]
    }
  },
  "alternative-id": [
    "BFnmat815"
  ],
  "URL": "http://dx.doi.org/10.1038/nmat815",
  "relation": {},
  "ISSN": [
    "1476-1122",
    "1476-4660"
  ],
  "subject": [],
  "container-title-short": "Nature Mater",
  "published": {
    "date-parts": [
      [
        2003,
        1,
        19
      ]
    ]
  },
  "assertion": [
    {
      "value": "3 October 2002",
      "order": 1,
      "name": "received",
      "label": "Received",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "16 December 2002",
      "order": 2,
      "name": "accepted",
      "label": "Accepted",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "19 January 2003",
      "order": 3,
      "name": "first_online",
      "label": "First Online",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "The authors declare no competing financial interests.",
      "order": 1,
      "name": "Ethics",
      "group": {
        "name": "EthicsHeading",
        "label": "Competing interests"
      }
    }
  ]
}